Abstract

This study examines the black hole developed from multi-polytropic equations of state by investigating particle dynamics and various related properties, such as the radius of the horizon, the effective force, the innermost stable circular orbit radius, the photon radius, quasi-periodic oscillations, and the weak plasma lensing in uniform plasma fields, singular isothermal sphere (SIS), and non-singular isothermal gas sphere (NSIS). Furthermore, we examine the image magnification for the black hole solution. An important parameter in this black hole solution is c1, which significantly impacts the results. Our study shows that particle dynamics features and deflection of light are affected by the black hole parameter.